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Estimates for Emden-Fowler type inequalities with absorption term |
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| Authors: | Mikhail Surnachev |
| Affiliation: | Department of Mathematics, Swansea University, Swansea SA2 8PP, UK |
| Abstract: | We obtain improved estimates of the Keller-Osserman type for second-order elliptic semilinear inequalities in the non-divergent form sign(u)(aij(x)uxixj+bi(x)uxi)?c(x)−2|x|σ|u|. Special cases of rapidly growing or decaying weights c(x) and planar domains are also treated. |
| Keywords: | Keller-Osserman type estimates Semilinear elliptic equations Maximum principle Sub- and supersolutions Singularities Exterior domains Nonlinear absorption |
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